Levi’s primary current research domains are supply chain and inventory management, healthcare management, revenue management, risk management and logistics. For the last 6 years Levi has lead several collaborative research efforts and initiatives with some of the major academic medical centers in the Boston area, addressing core system design challenges within these centers. Levi has develop risk management frameworks and have been involved in their application in various industries. Levi is also working on developing new models and algorithms to address core challenges of the U.S. Ari Force in the areas of logistics and supply chain management. Levi's current methodological research is focused on the design and the performance analysis of efficient algorithms for fundamental stochastic and deterministic optimization models, arising in the context of above application domains. These fundamental, multistage stochastic models are typically very hard to solve optimally, both theoretically and in practice. Hence, it is important to develop efficient heuristics that provide provably near-optimal policies for these hard models. Levi has special interest in Cost-Balancing techniques, data-driven (sampling-based) algorithms, and modern Linear-Programming-based approximation techniques applied to models in the above domains.

Levi has received the NSF Faculty Early Career Development award and the 2008 INFORMS Optimization Prize for Young Researchers.